28.1.65 ExponentialCDF

Function

y=\begin{cases}
 y_0+A\int_{0}^{x}\frac{1}{\mu}e^{-\frac{x}{\mu}}dt =y_0+A\left ( 1-e^{-\frac{x}{\mu}} \right )&x\geq 0\\ 
y_0&x< 0
\end{cases}

Brief Description

Exponential cumulative distribution function

Sample Curve

ExponentialCDF.png

Parameters

Number: 3

Names: y0, A, mu

Meanings: y0 = offset, A = Anplitude, R0 = rean

Lower Bounds: A > 0, mu > 0

Upper Bounds: none

Derived Parameters

Standard Deviation: sigma=mu

Script Access

Function File

FITFUNC\ExponentialCDF.fdf

Category

Statistics, Baseline, Exponential